168
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 480
- Proper Divisor Sum (Aliquot Sum)
- 312
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 48
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 10
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertachtundsechzig· ordinal: einshundertachtundsechzigste
- English
- one hundred sixty-eight· ordinal: one hundred sixty-eighth
- Spanish
- ciento sesenta y ocho· ordinal: 168º
- French
- cent soixante-huit· ordinal: cent soixante-huitième
- Italian
- centosessantotto· ordinal: 168º
- Latin
- centum sexaginta octo· ordinal: 168.
- Portuguese
- cento e sessenta e oito· ordinal: 168º
Appears in sequences
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=20A000053
- Local stops on New York City A line subway.at n=19A000054
- Generalized tangent numbers d(n,1).at n=48A000061
- Generalized tangent numbers d(n,1).at n=61A000061
- Generalized tangent numbers d(n,1).at n=56A000061
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=54A000115
- a(n) = sigma(n), the sum of the divisors of n. Also called sigma_1(n).at n=59A000203
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=5A000338
- Dedekind numbers or Dedekind's problem: number of monotone Boolean functions of n variables, number of antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families.at n=4A000372
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=14A000603
- Expansion of Product_{k>=0} (1 + x^(2k+1)); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes.at n=57A000700
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=43A000926
- Numbers that are divisible by at least three different primes.at n=22A000977
- Orders of noncyclic simple groups (without repetition).at n=1A001034
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=42A001066
- Continued fraction associated with y(y+1) = x(x^2 -1).at n=7A001086
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=13A001172
- a(n) = floor(n*log((14/11)*n^(10/9))).at n=38A001195
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=56A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=46A001284